Yes: Subway Surfers, Fallout Shelter, Plague Inc. There are many games on Android. There is a game like Soul Knight, a type of strategy game on the phone. There is also a game (which I am playing right now) Shadow Fight 2 is a fighting game.
Search there for my games (by my nickname). They are completely offline, free and pointless. No advertising, registration. You can download and play, but when you get bored - erase.
WoW - You can use letters to create words in a crossword puzzle.
Slidey - Something like Tetris, but more interesting.
- Klondike Solitaire.
BlockuDoku - Place random figures so that they can be removed by filling in lines and squares.
VOEZ - Play to the beat of the music.
Magic Tiles 3- Tap the tiles to the beat of the music.
Nikita, depending on your preferences: many card games, a shadow fight series as a representative of fighting games, if you are interested in what is more difficult: Monument Valley 1/2, Out There, Lapse 1/2, Mini Metro, Alto adventure / odyssey, plague inc ... There are also ports of famous PC games: Titan Quest, Samorost 1-3, Machinarium, Beholder, Oxenfree, To the moon, Don't Starve and other games, I can't remember all of them.